name the property that justifies the following 15=15

no, transitive says that if a=b and b=c, then a=c

I'd call this identity. a number is equal to itself.

although, usually one speaks of identity in conjunction with addition or multiplication.

also, since "=" is a relation, this could be called the reflexive property of the "=" relation.

Transitive

The property that justifies the equation 15 = 15 is the reflexive property of equality.

The reflexive property of equality states that any number or mathematical expression is always equal to itself. In this case, the number 15 is equal to itself, so the equation 15 = 15 is true.

To determine this property, you can use your knowledge of basic arithmetic and logic. By recognizing that the number 15 is identical to itself, you can conclude that it is reflexively equal to itself.